5. to determine a students overall test score for the semester, ms. lopez throws out the lowest score and…

5. to determine a students overall test score for the semester, ms. lopez throws out the lowest score and takes the average of the remaining test scores. victor earned the following test scores in ms. lopezs class this semester: 62, 78, 83, 84, and 93. what overall test score did victor earn in ms. lopezs class this semester? (a) 67.6 (b) 80.0 (c) 83.0 (d) 83.5 (e) 84.5 6. in a basketball game between elk river and rogers, the elk players individual point totals were: 30, 4, 6, 11, 4, 7, 8, 12, 3, 5 a.) find the mean b.) find the median c.) find the range. 7. ally has four 20 - point projects for math class. allys scores on the first 3 projects were 18, 15, and 16. what does she need to score on project 4 so that the average of the four projects is 17? 8. to get an a in prob and stats, john needs to have an average of 94% on the tests. his first 5 test scores were: 92, 96, 91, 93, and 94. what score does john need to get on the final exam? 9. the median of the data set below is 8. find the missing value. 3 4 4 x 10 10 11 12

5. to determine a students overall test score for the semester, ms. lopez throws out the lowest score and takes the average of the remaining test scores. victor earned the following test scores in ms. lopezs class this semester: 62, 78, 83, 84, and 93. what overall test score did victor earn in ms. lopezs class this semester? (a) 67.6 (b) 80.0 (c) 83.0 (d) 83.5 (e) 84.5 6. in a basketball game between elk river and rogers, the elk players individual point totals were: 30, 4, 6, 11, 4, 7, 8, 12, 3, 5 a.) find the mean b.) find the median c.) find the range. 7. ally has four 20 - point projects for math class. allys scores on the first 3 projects were 18, 15, and 16. what does she need to score on project 4 so that the average of the four projects is 17? 8. to get an a in prob and stats, john needs to have an average of 94% on the tests. his first 5 test scores were: 92, 96, 91, 93, and 94. what score does john need to get on the final exam? 9. the median of the data set below is 8. find the missing value. 3 4 4 x 10 10 11 12

Answer

5.

Explanation:

Step1: Identify the lowest score

The scores are 62, 78, 83, 84, 93. The lowest score is 62.

Step2: Calculate the sum of remaining scores

$78 + 83+84 + 93=338$

Step3: Calculate the average of remaining scores

The number of remaining scores is 4. The average is $\frac{338}{4}=84.5$

Answer:

(e) 84.5

6.

Explanation:

Step1: Calculate the mean

The scores are 30, 4, 6, 11, 4, 7, 8, 12, 3, 5. The sum is $30 + 4+6 + 11+4 + 7+8 + 12+3 + 5=90$. There are 10 scores. The mean is $\frac{90}{10}=9$

Step2: Calculate the median

First, order the data: 3, 4, 4, 5, 6, 7, 8, 11, 12, 30. Since there are 10 (an even - numbered) data points, the median is the average of the 5th and 6th ordered values. $\frac{6 + 7}{2}=6.5$

Step3: Calculate the range

The range is the difference between the maximum and minimum values. The maximum value is 30 and the minimum value is 3. So the range is $30 - 3=27$

Answer:

a. 9 b. 6.5 c. 27

7.

Explanation:

Step1: Let the score on Project 4 be $x$.

The formula for the average of four numbers is $\frac{18 + 15+16+x}{4}=17$

Step2: Cross - multiply

$18 + 15+16+x=17\times4$

Step3: Simplify the right - hand side and left - hand side

$49 + x=68$

Step4: Solve for $x$

$x=68 - 49=19$

Answer:

19

8.

Explanation:

Step1: Let the score on the final exam be $x$.

The average of 6 scores should be 94. The sum of the first 5 scores is $92+96 + 91+93+94 = 466$. The formula for the average is $\frac{466+x}{6}=94$

Step2: Cross - multiply

$466+x=94\times6$

Step3: Simplify the right - hand side

$466+x = 564$

Step4: Solve for $x$

$x=564 - 466=98$

Answer:

98

9.

Explanation:

Step1: There are 8 data points.

Since there are 8 (an even - numbered) data points, the median is the average of the 4th and 5th ordered values.

Step2: Order the known data points: 3, 4, 4, 10, 10, 11, 12

Let the missing value be $x$. We know that $\frac{x + 10}{2}=8$

Step3: Cross - multiply

$x + 10=16$

Step4: Solve for $x$

$x=16 - 10=6$

Answer:

6